A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
((a|((c&c)&~((c&~((a|c))))))|((n&c)&c))
|
(n|c)
| 0 | 1 | 1 | 1 |
not entailment
|
((a&n)&(~(~(c))>(a&(n|a))))
|
~(~((((n|(c|n))|n)&((a&c)>a))))
| 1 | 0 | 1 | 0 |
entailment
|
~((n&(a>(a&a))))
|
((~((n&(a|a)))>(~(n)&n))>((c>c)>c))
| 1 | 0 | 0 | 0 |
entailment
|
((a&n)&(~(~(c))>(a&(n|a))))
|
((~((n&(a|a)))>(~(n)&n))>((c>c)>c))
| 0 | 0 | 1 | 0 |
not entailment
|
~((n&(a>(a&a))))
|
~(~((((n|(c|n))|n)&((a&c)>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&c)
|
(~(((~(a)|a)>~(((n|c)|c))))&(c|n))
| 1 | 0 | 0 | 0 |
entailment
|
~(c)
|
(c>~(((a|c)>n)))
| 1 | 0 | 0 | 0 |
entailment
|
(a&c)
|
(c>~(((a|c)>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
(~(((~(a)|a)>~(((n|c)|c))))&(c|n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>a))
|
(n>((((c|n)&c)|a)>((c&n)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
((a|((n>n)|((c>n)>(a>a))))>(n&a))
|
~(~((a|a)))
| 1 | 1 | 1 | 1 |
entailment
|
~((n>a))
|
~(~((a|a)))
| 0 | 0 | 1 | 0 |
not entailment
|
((a|((n>n)|((c>n)>(a>a))))>(n&a))
|
(n>((((c|n)&c)|a)>((c&n)&n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&((a&a)&c))
|
(a&(a&(n|a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~((~((c&n))>(a|a)))|c)>c)|c))
|
~(((~((~(n)>a))>n)&c))
| 1 | 1 | 1 | 1 |
entailment
|
(a&((a&a)&c))
|
~(((~((~(n)>a))>n)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~((~((c&n))>(a|a)))|c)>c)|c))
|
(a&(a&(n|a)))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&c)
|
(a|(c&c))
| 1 | 0 | 1 | 1 |
entailment
|
(n&(c>~(a)))
|
(~((a&c))|((n&a)|(n|(n|n))))
| 1 | 0 | 1 | 0 |
entailment
|
(a&c)
|
(~((a&c))|((n&a)|(n|(n|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(c>~(a)))
|
(a|(c&c))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~(a))|n)>n)
|
(c|((a>(~(c)&n))|n))
| 1 | 0 | 0 | 0 |
entailment
|
~((a>n))
|
(a&(a>a))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(a))|n)>n)
|
(a&(a>a))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a>n))
|
(c|((a>(~(c)&n))|n))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&d)&(~(u)>g))
|
~(~((~(d)>d)))
| 1 | 1 | 1 | 1 |
entailment
|
(((g|((g&d)|g))&(d>d))>~((u>u)))
|
(((g|g)>u)|~(((g|u)|(u&~((d>u))))))
| 1 | 0 | 1 | 1 |
entailment
|
((d&d)&(~(u)>g))
|
(((g|g)>u)|~(((g|u)|(u&~((d>u))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((g|((g&d)|g))&(d>d))>~((u>u)))
|
~(~((~(d)>d)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((((~(d)|d)>d)&((~(g)|d)>(u|d)))))
|
(d&(g|d))
| 1 | 1 | 1 | 1 |
entailment
|
(g&u)
|
((((u|g)|d)&u)|(g|~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((~(d)|d)>d)&((~(g)|d)>(u|d)))))
|
((((u|g)|d)&u)|(g|~(d)))
| 0 | 1 | 1 | 1 |
not entailment
|
(g&u)
|
(d&(g|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|g)&u)
|
((d|u)&(d>(d>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(((g&g)>u)>(g|((u|d)&(d&(g&g)))))
|
((d|d)|g)
| 1 | 1 | 1 | 1 |
entailment
|
((u|g)&u)
|
((d|d)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((g&g)>u)>(g|((u|d)&(d&(g&g)))))
|
((d|u)&(d>(d>d)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((d>u))>u)&d)
|
~(~(~(~((d>(u&u))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g|u)|((u&(~(~(d))|g))&(d|(g|u)))))
|
(~(g)&(u>~((u>d))))
| 1 | 1 | 1 | 0 |
entailment
|
((~((d>u))>u)&d)
|
(~(g)&(u>~((u>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g|u)|((u&(~(~(d))|g))&(d|(g|u)))))
|
~(~(~(~((d>(u&u))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(u)>~(g))&(u&g))&(u>u))
|
(g|~(~((g&(u&g)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
(d>~(g))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(u)>~(g))&(u&g))&(u>u))
|
(d>~(g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(g)
|
(g|~(~((g&(u&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(g>((g|d)&(g>u))))
|
(u|~(((u&u)>~((d&(u&g))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g>u)&u))
|
(u>(((u>(g|d))|(u&(g&g)))&(u|g)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(g>((g|d)&(g>u))))
|
(u>(((u>(g|d))|(u&(g&g)))&(u|g)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((g>u)&u))
|
(u|~(((u&u)>~((d&(u&g))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(~(g)>d))
|
(u|(d>u))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>u)|((d&d)|g))>(d&(g>(u|g))))
|
(~((u&(u>u)))>~(~((d|(~(d)>d)))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(d)&(~(g)>d))
|
(~((u&(u>u)))>~(~((d|(~(d)>d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d>u)|((d&d)|g))>(d&(g>(u|g))))
|
(u|(d>u))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(d)&g)&(((d|g)>(~(d)>u))&g))
|
((d|g)&(~((d&g))|d))
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
((~(d)&u)>~(g))
| 1 | 0 | 0 | 0 |
entailment
|
((~(d)&g)&(((d|g)>(~(d)>u))&g))
|
((~(d)&u)>~(g))
| 0 | 1 | 1 | 0 |
not entailment
|
~(g)
|
((d|g)&(~((d&g))|d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u|((u>g)|u))>(d&d)))
|
~((~(((u|~(d))|~(g)))&(u|d)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~((u>g)))&g)
|
~((((~(d)&u)>g)>~((g>g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u|((u>g)|u))>(d&d)))
|
~((((~(d)&u)>g)>~((g>g))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~((u>g)))&g)
|
~((~(((u|~(d))|~(g)))&(u|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&g)
|
~(~((~(~((g>(u|g))))&u)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(~((g&((d|u)|u))))&(d&(d&d)))|d)
|
(((~(g)>u)|((d>g)>((u&u)&(u|g))))&d)
| 1 | 1 | 1 | 0 |
entailment
|
(u&g)
|
(((~(g)>u)|((d>g)>((u&u)&(u|g))))&d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((g&((d|u)|u))))&(d&(d&d)))|d)
|
~(~((~(~((g>(u|g))))&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~((c>c))>(g>f))&(t|~(~(c)))))
|
(x|(c>s))
| 1 | 1 | 0 | 0 |
entailment
|
(~((f|x))&(x>(~(v)&~(f))))
|
((t|g)|((~(x)|n)|~(x)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((c>c))>(g>f))&(t|~(~(c)))))
|
((t|g)|((~(x)|n)|~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((f|x))&(x>(~(v)&~(f))))
|
(x|(c>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((x&f)))&(a&(a&n)))
|
(~((g&t))>(f|((v|g)>f)))
| 1 | 1 | 0 | 0 |
entailment
|
((c&c)&s)
|
(((f&g)&(v|x))>c)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((x&f)))&(a&(a&n)))
|
(((f&g)&(v|x))>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((c&c)&s)
|
(~((g&t))>(f|((v|g)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&(t|t))&(s&f))
|
(~(a)>(~((a|(t>(c|x))))>(c|n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
((g|((s>f)&x))>(~(~((v|v)))>g))
| 1 | 0 | 0 | 0 |
entailment
|
((a&(t|t))&(s&f))
|
((g|((s>f)&x))>(~(~((v|v)))>g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
(~(a)>(~((a|(t>(c|x))))>(c|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&s)&((a>v)|c))
|
(((s>(g>(t&f)))>v)|(t|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f>v)>t))
|
~(t)
| 1 | 1 | 1 | 1 |
entailment
|
((c&s)&((a>v)|c))
|
~(t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>v)>t))
|
(((s>(g>(t&f)))>v)|(t|c))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>(c>x))>s)
|
((f>(x|(g>s)))|((a&(~(~(x))|c))&a))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t|s)|a))
|
~(~(~(~((a>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
((x>(c>x))>s)
|
~(~(~(~((a>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|s)|a))
|
((f>(x|(g>s)))|((a&(~(~(x))|c))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&f)&(a&x))
|
(a|~((t&((f|c)>((c|s)&(v>(a&s)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((x&(g|n))))>(t>(s>~(c)))))
|
((a&s)|t)
| 1 | 1 | 0 | 0 |
entailment
|
((v&f)&(a&x))
|
((a&s)|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((x&(g|n))))>(t>(s>~(c)))))
|
(a|~((t&((f|c)>((c|s)&(v>(a&s)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((v>x)&(x&t))
|
(~(((c&c)>~(v)))|(((c|~(t))>f)|~(v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((n>(s>a))|(g|c)))>(x|f)))
|
((a|c)|(g|s))
| 1 | 1 | 1 | 0 |
entailment
|
((v>x)&(x&t))
|
((a|c)|(g|s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((n>(s>a))|(g|c)))>(x|f)))
|
(~(((c&c)>~(v)))|(((c|~(t))>f)|~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|g)>((s>x)|(g>(t|a)))))
|
(~(a)|(t|(s&t)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(a))
|
((a&a)|(c>(v>n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s|g)>((s>x)|(g>(t|a)))))
|
((a&a)|(c>(v>n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(a))
|
(~(a)|(t|(s&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(v)&(f&n))
|
(s>((((x&v)|c)>~(s))|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(a))
|
(((c&v)|a)|(~(~((t>f)))&(n>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(v)&(f&n))
|
(((c&v)|a)|(~(~((t>f)))&(n>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
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